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132717121521 = 31947227229953
BaseRepresentation
bin111101110011010001…
…1101000111111110001
3110200120021200022122020
41323212203220333301
54133301040342041
6140545220302053
712405565630305
oct1734643507761
9420507608566
10132717121521
115131539a806
122187a841929
13c690aa444a
1465d02b7d05
1536bb67b866
hex1ee68e8ff1

132717121521 has 64 divisors (see below), whose sum is σ = 192106598400. Its totient is φ = 81234510336.

The previous prime is 132717121519. The next prime is 132717121561. The reversal of 132717121521 is 125121717231.

It is not a de Polignac number, because 132717121521 - 21 = 132717121519 is a prime.

It is a super-2 number, since 2×1327171215212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132717121561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139261981 + ... + 139262933.

It is an arithmetic number, because the mean of its divisors is an integer number (3001665600).

Almost surely, 2132717121521 is an apocalyptic number.

It is an amenable number.

132717121521 is a deficient number, since it is larger than the sum of its proper divisors (59389476879).

132717121521 is a wasteful number, since it uses less digits than its factorization.

132717121521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478.

The product of its digits is 5880, while the sum is 33.

Adding to 132717121521 its reverse (125121717231), we get a palindrome (257838838752).

The spelling of 132717121521 in words is "one hundred thirty-two billion, seven hundred seventeen million, one hundred twenty-one thousand, five hundred twenty-one".

Divisors: 1 3 19 47 57 141 227 229 681 687 893 953 2679 2859 4313 4351 10669 10763 12939 13053 18107 32007 32289 44791 51983 54321 134373 155949 202711 204497 216331 218237 608133 613491 648993 654711 851029 987677 2443201 2553087 2963031 4110289 4146503 7329603 10167557 10257139 12330867 12439509 30502671 30771417 46420819 49539799 139262457 148619397 193183583 194885641 579550749 584656923 941256181 2328370553 2823768543 6985111659 44239040507 132717121521